1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vadim26 [7]
2 years ago
10

100 POINTS! PLEASE HELP!

Mathematics
2 answers:
Semmy [17]2 years ago
4 0

Apply angle bisector theorem

\\ \sf\longmapsto \dfrac{9}{15}=\dfrac{3}{5}=\dfrac{2x-1}{3x}

\\ \sf\longmapsto 9x=5(2x-1)

\\ \sf\longmapsto 9x=10x-5

\\ \sf\longmapsto 10x-9x=5

\\ \sf\longmapsto x=5

#2

\\ \sf\longmapsto \dfrac{4}{3}=\dfrac{x}{2.25}

\\ \sf\longmapsto 4(2.25)=3x

\\ \sf\longmapsto 3x=9

\\ \sf\longmapsto x=3

Hope it helps

STatiana [176]2 years ago
4 0

Answer:

please mark me brainliest

1) x =5

2) x = 3

You might be interested in
The original cost of a pair of shoes is 850dhs. The store offers a markup of 30%. Find the retail price of pair of shoes.
mamaluj [8]

Answer:

Step-by-step explanation:

7 0
2 years ago
Solve the given initial-value problem. x^2y'' + xy' + y = 0, y(1) = 1, y'(1) = 8
Kitty [74]
Substitute z=\ln x, so that

\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{\mathrm dy}{\mathrm dz}\cdot\dfrac{\mathrm dz}{\mathrm dx}=\dfrac1x\dfrac{\mathrm dy}{\mathrm dz}

\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1x\dfrac{\mathrm dy}{\mathrm dz}\right]=-\dfrac1{x^2}\dfrac{\mathrm dy}{\mathrm dz}+\dfrac1x\left(\dfrac1x\dfrac{\mathrm d^2y}{\mathrm dz^2}\right)=\dfrac1{x^2}\left(\dfrac{\mathrm d^2y}{\mathrm dz^2}-\dfrac{\mathrm dy}{\mathrm dz}\right)

Then the ODE becomes


x^2\dfrac{\mathrm d^2y}{\mathrm dx^2}+x\dfrac{\mathrm dy}{\mathrm dx}+y=0\implies\left(\dfrac{\mathrm d^2y}{\mathrm dz^2}-\dfrac{\mathrm dy}{\mathrm dz}\right)+\dfrac{\mathrm dy}{\mathrm dz}+y=0
\implies\dfrac{\mathrm d^2y}{\mathrm dz^2}+y=0

which has the characteristic equation r^2+1=0 with roots at r=\pm i. This means the characteristic solution for y(z) is

y_C(z)=C_1\cos z+C_2\sin z

and in terms of y(x), this is

y_C(x)=C_1\cos(\ln x)+C_2\sin(\ln x)

From the given initial conditions, we find

y(1)=1\implies 1=C_1\cos0+C_2\sin0\implies C_1=1
y'(1)=8\implies 8=-C_1\dfrac{\sin0}1+C_2\dfrac{\cos0}1\implies C_2=8

so the particular solution to the IVP is

y(x)=\cos(\ln x)+8\sin(\ln x)
4 0
3 years ago
Pieces of paper with each letter of the alphabet are placed into a jar. A student draws
Snowcat [4.5K]

Answer:

0.71 to 2 decimal places.

Step-by-step explanation:

The Probability that a letter A through G is drawn in 1 draw = 7/26.

The probability that a different draw other A-G is made = 1 - 7/26 = 19/26.

Probability ( No A-G drawn in 4 draws) = (19/26)^4 = 0.2852.

Therefore, the probability that A-G is drawn at least once = 1 - 0.2852.

= 0.71 to 2 decimal places.

3 0
3 years ago
A rectangle has a length that is 2 greater then its width. The area is 15 square centimeters. what are the dimensions of the rec
GaryK [48]

9514 1404 393

Answer:

  • length 5 cm
  • width 3 cm

Step-by-step explanation:

Your knowledge of multiplication facts tells you 3×5 = 15. Your knowledge of addition facts tells you 3+2 = 5. So, the dimensions 3 cm and 5 cm are the width and length of the rectangle, respectively.

3 0
3 years ago
. Determine whether the polynomial is a perfect square and if it is, factor it.
Nataly_w [17]
Perfect Square Trinomials have first and last terms that are positive perfect squares. And the middle term is twice the product of the square roots of the first and third terms.

First term:

n^2

Square root = n \checkmark

Third term:

9

Square root = 3 \checkmark

9 * 1 = 9

9 * 2 = 18

18 \neq-9

Therefore it is not a perfect square trinomial.

4 0
3 years ago
Other questions:
  • Find the selling price of a $270 by bicycle with a 24% markup
    12·2 answers
  • Hannah can clear the lot in 5.5 hours. damion can do the same job in 7.5 hours
    15·1 answer
  • What is 93.65 in word form?
    8·1 answer
  • A gallery has 25 paintings in its permanent collection, with display space for 10 at one time. How many different collections ca
    7·2 answers
  • Write the product 3i(5 - 3i) in the form a + bi.
    10·1 answer
  • I. Write the answer with the proper label. ( 2 pts each)
    13·1 answer
  • Can someone help me out with this inequality problem?? Will give brainliest to best answer!!
    11·1 answer
  • What is the area of a shaded region in the quarter circle <br>radius 12​
    11·1 answer
  • During track and field practice yesterday, Louie ran more than 1.6 miles but less than 1.75 miles. Which of the following could
    11·1 answer
  • Consider the system of equations.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!